%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:32:33 EDT 2023

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   47 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  24   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   43 (;  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : sum(additive_identity,X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] : sum(additive_inverse(X),X,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,U,Z,V,W] :
      ( ~ sum(X,Y,U)
      | ~ sum(Y,Z,V)
      | ~ sum(U,Z,W)
      | sum(X,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y,U,V] :
      ( ~ sum(X,Y,U)
      | ~ sum(X,Y,V)
      | U = V ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    sum(a,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    sum(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    b != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0] : sum(additive_identity,X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f25,plain,
    ! [X0] : sum(additive_inverse(X0),X0,additive_identity),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f27,plain,
    ! [X,V,W] :
      ( ! [U,Z] :
          ( ! [Y] :
              ( ~ sum(X,Y,U)
              | ~ sum(Y,Z,V) )
          | ~ sum(U,Z,W) )
      | sum(X,V,W) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sum(X0,X1,X2)
      | ~ sum(X1,X3,X4)
      | ~ sum(X2,X3,X5)
      | sum(X0,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f44,plain,
    ! [U,V] :
      ( ! [X,Y] :
          ( ~ sum(X,Y,U)
          | ~ sum(X,Y,V) )
      | U = V ),
    inference(miniscoping,[status(esa)],[f16]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sum(X0,X1,X2)
      | ~ sum(X0,X1,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f48,plain,
    sum(a,b,d),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f49,plain,
    sum(a,c,d),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f50,plain,
    b != c,
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ~ sum(X0,a,X1)
      | ~ sum(X1,c,X2)
      | sum(X0,d,X2) ),
    inference(resolution,[status(thm)],[f28,f49]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ~ sum(X0,a,X1)
      | ~ sum(X1,b,X2)
      | sum(X0,d,X2) ),
    inference(resolution,[status(thm)],[f28,f48]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | sum(X0,d,c) ),
    inference(resolution,[status(thm)],[f124,f21]) ).

fof(f182,plain,
    sum(additive_inverse(a),d,c),
    inference(resolution,[status(thm)],[f178,f25]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ sum(additive_inverse(a),d,X0)
      | X0 = c ),
    inference(resolution,[status(thm)],[f182,f45]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ sum(X0,a,additive_identity)
      | sum(X0,d,b) ),
    inference(resolution,[status(thm)],[f126,f21]) ).

fof(f283,plain,
    sum(additive_inverse(a),d,b),
    inference(resolution,[status(thm)],[f209,f25]) ).

fof(f284,plain,
    b = c,
    inference(resolution,[status(thm)],[f283,f189]) ).

fof(f285,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f284,f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:37:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.026815 seconds
% 0.12/0.37  % CPU time: 0.094190 seconds
% 0.12/0.37  % Memory used: 5.253 MB
%------------------------------------------------------------------------------